The existence of multiple positive solutions for multi-point boundary value problems on the half-line

Authors:
Sihua Liang;Jihui Zhang;Zhiyong Wang
Affiliations:
Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, 210097, Jiangsu, PR China and College of Mathematics, Changchun Normal University, Changchun 13003 ...;Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, 210097, Jiangsu, PR China;College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing, 210044, Jiangsu, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

In this paper, we consider the existence of multiple positive solutions for some nonlinear m-point boundary value problems on the half-line (@f(u^'))^'+a(t)f(t,u(t))=0,0R is an increasing homeomorphism and positive homomorphism and @f(0)=0. Using a fixed-point theorem for operator on a cone, we provide sufficient conditions for the existence of multiple positive solutions to the above boundary value problem.